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Web Search for Mehler integrals

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Phil's working notes dated 1.28.11 recording a web search for integrals involving Mehler or conical functions. They go through about seven references, including Google Books previews, an encyclopedia entry, a JSTOR paper and lectures by Sneddon on the Mehler-Fock transform, and mention a certain Felson. He judges most of them too technical or not useful for finding a table of integrals or methods for evaluating them. The screenshots are missing from the extracted text.

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Web Search for Mehler integrals PhL 1.28.11 Searching on "integrals involving conical", I basically get one reference to a certain Felson, but it is in J. Math and Phys which only BYU has (discontinued journal). Nothing in "integrals involving Mehler". But that led to this book: Reference 1 which certainly seems on topic, and a whole book! Here are some clips, where our friend Felson appears right away: At this point we hit a missing page, but he is doing μ plane stuff, not so important to me. There is nothing else in this Google book view for this book. Here is the contents and perhaps Chapter 4 might have what I want. This book is not at Marriott. Reference 2 Certainly another on topic book! The book then goes on to prove technical Mehler related theorems and that fills out this chapter Really this is not what I am looking for right now, convergence theorems and such. Reference 3 The contents are concealed, rather amazing. They do reel off some integral representations and then versions of the same with μ present. Then some interesting claims And here is a little discussion I was about to write, but they have done it for me But nothing else useful to me in this preview. $73 for the PDF! Reference 4. Here is a paper I can probably get from Jstor but it is not likely to have what I need. Reference 5. This is from Encyclopedia of Mathematics by Hazewinkel There is good old Sneddon again! That book might have something for me and is just sitting there Reference 6 These are the guys who did the above encyclopedia entry: The section then gets very technical, reviewing lots of people's results. Nothing on how to do integrals! Reference 7 Lectures by Sneddon specifically on M-F I don't know how to narrow down to finding a table of integrals or instructions how to do them! My web search has not really produced anything useful.